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Finding the Fourth Proportional to 14,820, 20,451.48 and 8,105.64

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Solution

The fourth proportional to 14,820, 20,451.48 and 8,105.64 is: 11,185.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,820 : 20,451.48 = 8,105.64 : x
  2. Step 2: Convert to fraction form
    14,820/20,451.48 = 8,105.64/x
  3. Step 3: Cross multiply
    14,820x = 20,451.48 × 8,105.64
  4. Step 4: Simplify right side
    14,820x = 165,772,334.35
  5. Step 5: Solve for x
    x = 165,772,334.35/14,820
  6. Step 6: Final answer
    x = 11,185.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.